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Finding the Fourth Proportional to 27,001.37, 40,502.42 and 9,471.71

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Solution

The fourth proportional to 27,001.37, 40,502.42 and 9,471.71 is: 14,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.37 : 40,502.42 = 9,471.71 : x
  2. Step 2: Convert to fraction form
    27,001.37/40,502.42 = 9,471.71/x
  3. Step 3: Cross multiply
    27,001.37x = 40,502.42 × 9,471.71
  4. Step 4: Simplify right side
    27,001.37x = 383,626,926.67
  5. Step 5: Solve for x
    x = 383,626,926.67/27,001.37
  6. Step 6: Final answer
    x = 14,207.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.